A minimal flipbook

class: center, middle, inverse, title-slide

# A minimal flipbook
## With flipbookr and xaringan
### You!

---

---

class: inverse, left, bottom
background-image: url(https://images.unsplash.com/photo-1501641466388-c67e34ec767e?ixid=MXwxMjA3fDB8MHxzZWFyY2h8Mnx8b2xkJTIwZmFpdGhmdWx8ZW58MHx8MHw%3D&ixlib=rb-1.2.1&auto=format&fit=crop&w=500&q=60)
background-size: cover

# .Large[Chance model and observed statistics, p-value, z-statistic and consistency with the chance model]

## .small[Welcome]
#### .tiny[Dr. Evangeline Reynolds | Meeting 4 | 2021-02-02 | Image credit: Emily Campbell, Upsplash]

---

## Observation

--

### We characterize the success of the dolphins in the experiment by calculating a statistic:

--

### proportion of successes

---

count: false

.panel1-observed_statistic-auto[

```r
*library(tidyverse)
```
]
 
.panel2-observed_statistic-auto[

```
## ── Attaching packages ─────────────────────────────────────── tidyverse 1.3.0 ──
```

```
## ✓ ggplot2 3.3.5     ✓ purrr   0.3.4
## ✓ tibble  3.1.6     ✓ dplyr   1.0.8
## ✓ tidyr   1.0.2     ✓ stringr 1.4.0
## ✓ readr   1.3.1     ✓ forcats 0.5.0
```

```
## Warning: package 'ggplot2' was built under R version 3.6.2
```

```
## Warning: package 'tibble' was built under R version 3.6.2
```

```
## Warning: package 'purrr' was built under R version 3.6.2
```

```
## Warning: package 'dplyr' was built under R version 3.6.2
```

```
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## x dplyr::filter() masks stats::filter()
## x dplyr::lag()    masks stats::lag()
```
]

---
count: false

.panel1-observed_statistic-auto[

```r
library(tidyverse)

*c(1, 1, 1, 1, 1, 1, 1, 1,
* 1, 0, 1, 1, 1, 1, 1, 1)
```
]
 
.panel2-observed_statistic-auto[

```
##  [1] 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1
```
]

---
count: false

.panel1-observed_statistic-auto[

```r
library(tidyverse)

c(1, 1, 1, 1, 1, 1, 1, 1,
  1, 0, 1, 1, 1, 1, 1, 1) ->
*buzz_doris_experiment
```
]
 
.panel2-observed_statistic-auto[

]

---
count: false

.panel1-observed_statistic-auto[

```r
library(tidyverse)

c(1, 1, 1, 1, 1, 1, 1, 1,
  1, 0, 1, 1, 1, 1, 1, 1) ->
buzz_doris_experiment

*buzz_doris_experiment
```
]
 
.panel2-observed_statistic-auto[

```
##  [1] 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1
```
]

---
count: false

.panel1-observed_statistic-auto[

```r
library(tidyverse)

c(1, 1, 1, 1, 1, 1, 1, 1,
  1, 0, 1, 1, 1, 1, 1, 1) ->
buzz_doris_experiment

buzz_doris_experiment %>%
* mean()
```
]
 
.panel2-observed_statistic-auto[

```
## [1] 0.9375
```
]

---
count: false

.panel1-observed_statistic-auto[

```r
library(tidyverse)

c(1, 1, 1, 1, 1, 1, 1, 1,
  1, 0, 1, 1, 1, 1, 1, 1) ->
buzz_doris_experiment

buzz_doris_experiment %>%
  mean() ->
*buzz_doris_observed_prop
```
]
 
.panel2-observed_statistic-auto[

]

<style>
.panel1-observed_statistic-auto {
  color: black;
  width: 38.6060606060606%;
  hight: 32%;
  float: left;
  padding-left: 1%;
  font-size: 80%
}
.panel2-observed_statistic-auto {
  color: black;
  width: 59.3939393939394%;
  hight: 32%;
  float: left;
  padding-left: 1%;
  font-size: 80%
}
.panel3-observed_statistic-auto {
  color: black;
  width: NA%;
  hight: 33%;
  float: left;
  padding-left: 1%;
  font-size: 80%
}
</style>

---

# But is this statistic consistent with the chance model?

--

## Let's look at some outcomes of individual trials under the chance model

---

count: false

.panel1-individual_chance_trails-10[

```r
0:1 %>%
  sample(size = 16,
         replace = T,
         prob = c(.5,.5))
```
]
 
.panel2-individual_chance_trails-10[

```
##  [1] 1 0 1 1 1 0 1 1 0 0 1 0 1 1 1 1
```
]

---
count: false

.panel1-individual_chance_trails-10[

```r
0:1 %>%
  sample(size = 16,
         replace = T,
         prob = c(.5,.5))
```
]
 
.panel2-individual_chance_trails-10[

```
##  [1] 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1
```
]

---
count: false

.panel1-individual_chance_trails-10[

```r
0:1 %>%
  sample(size = 16,
         replace = T,
         prob = c(.5,.5))
```
]
 
.panel2-individual_chance_trails-10[

```
##  [1] 0 1 1 0 0 1 1 0 1 1 1 1 0 0 1 1
```
]

---
count: false

.panel1-individual_chance_trails-10[

```r
0:1 %>%
  sample(size = 16,
         replace = T,
         prob = c(.5,.5))
```
]
 
.panel2-individual_chance_trails-10[

```
##  [1] 0 1 1 0 0 0 1 1 1 1 1 0 1 0 0 0
```
]

---
count: false

.panel1-individual_chance_trails-10[

```r
0:1 %>%
  sample(size = 16,
         replace = T,
         prob = c(.5,.5))
```
]
 
.panel2-individual_chance_trails-10[

```
##  [1] 1 1 0 0 1 0 1 0 1 1 0 1 0 1 1 1
```
]

---
count: false

.panel1-individual_chance_trails-10[

```r
0:1 %>%
  sample(size = 16,
         replace = T,
         prob = c(.5,.5))
```
]
 
.panel2-individual_chance_trails-10[

```
##  [1] 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0
```
]

---
count: false

.panel1-individual_chance_trails-10[

```r
0:1 %>%
  sample(size = 16,
         replace = T,
         prob = c(.5,.5))
```
]
 
.panel2-individual_chance_trails-10[

```
##  [1] 1 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0
```
]

---
count: false

.panel1-individual_chance_trails-10[

```r
0:1 %>%
  sample(size = 16,
         replace = T,
         prob = c(.5,.5))
```
]
 
.panel2-individual_chance_trails-10[

```
##  [1] 1 1 1 0 0 1 1 1 0 0 0 1 1 1 1 1
```
]

---
count: false

.panel1-individual_chance_trails-10[

```r
0:1 %>%
  sample(size = 16,
         replace = T,
         prob = c(.5,.5))
```
]
 
.panel2-individual_chance_trails-10[

```
##  [1] 0 0 1 1 1 0 1 1 1 0 0 1 0 0 0 0
```
]

---
count: false

.panel1-individual_chance_trails-10[

```r
0:1 %>%
  sample(size = 16,
         replace = T,
         prob = c(.5,.5))
```
]
 
.panel2-individual_chance_trails-10[

```
##  [1] 0 0 1 0 1 0 0 1 0 0 0 1 1 1 1 1
```
]

<style>
.panel1-individual_chance_trails-10 {
  color: black;
  width: 38.6060606060606%;
  hight: 32%;
  float: left;
  padding-left: 1%;
  font-size: 80%
}
.panel2-individual_chance_trails-10 {
  color: black;
  width: 59.3939393939394%;
  hight: 32%;
  float: left;
  padding-left: 1%;
  font-size: 80%
}
.panel3-individual_chance_trails-10 {
  color: black;
  width: NA%;
  hight: 33%;
  float: left;
  padding-left: 1%;
  font-size: 80%
}
</style>

---

## *Many* trials tell us about probability distribution in the chance model

--

### Writing a function will help us manage many trials

---

count: false

.panel1-write_function-auto[

```r
*single_trial <- function(x){

* 0:1 %>%
* sample(size = 16,
*        replace = T,
*        prob = c(.5,.5))

*} 
```
]
 
.panel2-write_function-auto[

]

---
count: false

.panel1-write_function-auto[

```r
single_trial <- function(x){

0:1 %>%
  sample(size = 16,
         replace = T,
         prob = c(.5,.5))

}

# function at work
*single_trial()
```
]
 
.panel2-write_function-auto[

```
##  [1] 1 1 1 0 1 0 0 1 1 0 1 1 0 1 1 0
```
]

<style>
.panel1-write_function-auto {
  color: black;
  width: 38.6060606060606%;
  hight: 32%;
  float: left;
  padding-left: 1%;
  font-size: 80%
}
.panel2-write_function-auto {
  color: black;
  width: 59.3939393939394%;
  hight: 32%;
  float: left;
  padding-left: 1%;
  font-size: 80%
}
.panel3-write_function-auto {
  color: black;
  width: NA%;
  hight: 33%;
  float: left;
  padding-left: 1%;
  font-size: 80%
}
</style>

---

count: false

.panel1-many_trials-auto[

```r
*set.seed(2022)
```
]
 
.panel2-many_trials-auto[

]

---
count: false

.panel1-many_trials-auto[

```r
set.seed(2022)
*1:10000
```
]
 
.panel2-many_trials-auto[

```
##     [1]     1     2     3     4     5     6     7     8     9    10    11    12
##    [13]    13    14    15    16    17    18    19    20    21    22    23    24
##    [25]    25    26    27    28    29    30    31    32    33    34    35    36
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##   [325]   325   326   327   328   329   330   331   332   333   334   335   336
##   [337]   337   338   339   340   341   342   343   344   345   346   347   348
##   [349]   349   350   351   352   353   354   355   356   357   358   359   360
##   [361]   361   362   363   364   365   366   367   368   369   370   371   372
##   [373]   373   374   375   376   377   378   379   380   381   382   383   384
##   [385]   385   386   387   388   389   390   391   392   393   394   395   396
##   [397]   397   398   399   400   401   402   403   404   405   406   407   408
##   [409]   409   410   411   412   413   414   415   416   417   418   419   420
##   [421]   421   422   423   424   425   426   427   428   429   430   431   432
##   [433]   433   434   435   436   437   438   439   440   441   442   443   444
##   [445]   445   446   447   448   449   450   451   452   453   454   455   456
##   [457]   457   458   459   460   461   462   463   464   465   466   467   468
##   [469]   469   470   471   472   473   474   475   476   477   478   479   480
##   [481]   481   482   483   484   485   486   487   488   489   490   491   492
##   [493]   493   494   495   496   497   498   499   500   501   502   503   504
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##   [517]   517   518   519   520   521   522   523   524   525   526   527   528
##   [529]   529   530   531   532   533   534   535   536   537   538   539   540
##   [541]   541   542   543   544   545   546   547   548   549   550   551   552
##   [553]   553   554   555   556   557   558   559   560   561   562   563   564
##   [565]   565   566   567   568   569   570   571   572   573   574   575   576
##   [577]   577   578   579   580   581   582   583   584   585   586   587   588
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##   [997]   997   998   999  1000  1001  1002  1003  1004  1005  1006  1007  1008
##  [1009]  1009  1010  1011  1012  1013  1014  1015  1016  1017  1018  1019  1020
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##  [1513]  1513  1514  1515  1516  1517  1518  1519  1520  1521  1522  1523  1524
##  [1525]  1525  1526  1527  1528  1529  1530  1531  1532  1533  1534  1535  1536
##  [1537]  1537  1538  1539  1540  1541  1542  1543  1544  1545  1546  1547  1548
##  [1549]  1549  1550  1551  1552  1553  1554  1555  1556  1557  1558  1559  1560
##  [1561]  1561  1562  1563  1564  1565  1566  1567  1568  1569  1570  1571  1572
##  [1573]  1573  1574  1575  1576  1577  1578  1579  1580  1581  1582  1583  1584
##  [1585]  1585  1586  1587  1588  1589  1590  1591  1592  1593  1594  1595  1596
##  [1597]  1597  1598  1599  1600  1601  1602  1603  1604  1605  1606  1607  1608
##  [1609]  1609  1610  1611  1612  1613  1614  1615  1616  1617  1618  1619  1620
##  [1621]  1621  1622  1623  1624  1625  1626  1627  1628  1629  1630  1631  1632
##  [1633]  1633  1634  1635  1636  1637  1638  1639  1640  1641  1642  1643  1644
##  [1645]  1645  1646  1647  1648  1649  1650  1651  1652  1653  1654  1655  1656
##  [1657]  1657  1658  1659  1660  1661  1662  1663  1664  1665  1666  1667  1668
##  [1669]  1669  1670  1671  1672  1673  1674  1675  1676  1677  1678  1679  1680
##  [1681]  1681  1682  1683  1684  1685  1686  1687  1688  1689  1690  1691  1692
##  [1693]  1693  1694  1695  1696  1697  1698  1699  1700  1701  1702  1703  1704
##  [1705]  1705  1706  1707  1708  1709  1710  1711  1712  1713  1714  1715  1716
##  [1717]  1717  1718  1719  1720  1721  1722  1723  1724  1725  1726  1727  1728
##  [1729]  1729  1730  1731  1732  1733  1734  1735  1736  1737  1738  1739  1740
##  [1741]  1741  1742  1743  1744  1745  1746  1747  1748  1749  1750  1751  1752
##  [1753]  1753  1754  1755  1756  1757  1758  1759  1760  1761  1762  1763  1764
##  [1765]  1765  1766  1767  1768  1769  1770  1771  1772  1773  1774  1775  1776
##  [1777]  1777  1778  1779  1780  1781  1782  1783  1784  1785  1786  1787  1788
##  [1789]  1789  1790  1791  1792  1793  1794  1795  1796  1797  1798  1799  1800
##  [1801]  1801  1802  1803  1804  1805  1806  1807  1808  1809  1810  1811  1812
##  [1813]  1813  1814  1815  1816  1817  1818  1819  1820  1821  1822  1823  1824
##  [1825]  1825  1826  1827  1828  1829  1830  1831  1832  1833  1834  1835  1836
##  [1837]  1837  1838  1839  1840  1841  1842  1843  1844  1845  1846  1847  1848
##  [1849]  1849  1850  1851  1852  1853  1854  1855  1856  1857  1858  1859  1860
##  [1861]  1861  1862  1863  1864  1865  1866  1867  1868  1869  1870  1871  1872
##  [1873]  1873  1874  1875  1876  1877  1878  1879  1880  1881  1882  1883  1884
##  [1885]  1885  1886  1887  1888  1889  1890  1891  1892  1893  1894  1895  1896
##  [1897]  1897  1898  1899  1900  1901  1902  1903  1904  1905  1906  1907  1908
##  [1909]  1909  1910  1911  1912  1913  1914  1915  1916  1917  1918  1919  1920
##  [1921]  1921  1922  1923  1924  1925  1926  1927  1928  1929  1930  1931  1932
##  [1933]  1933  1934  1935  1936  1937  1938  1939  1940  1941  1942  1943  1944
##  [1945]  1945  1946  1947  1948  1949  1950  1951  1952  1953  1954  1955  1956
##  [1957]  1957  1958  1959  1960  1961  1962  1963  1964  1965  1966  1967  1968
##  [1969]  1969  1970  1971  1972  1973  1974  1975  1976  1977  1978  1979  1980
##  [1981]  1981  1982  1983  1984  1985  1986  1987  1988  1989  1990  1991  1992
##  [1993]  1993  1994  1995  1996  1997  1998  1999  2000  2001  2002  2003  2004
##  [2005]  2005  2006  2007  2008  2009  2010  2011  2012  2013  2014  2015  2016
##  [2017]  2017  2018  2019  2020  2021  2022  2023  2024  2025  2026  2027  2028
##  [2029]  2029  2030  2031  2032  2033  2034  2035  2036  2037  2038  2039  2040
##  [2041]  2041  2042  2043  2044  2045  2046  2047  2048  2049  2050  2051  2052
##  [2053]  2053  2054  2055  2056  2057  2058  2059  2060  2061  2062  2063  2064
##  [2065]  2065  2066  2067  2068  2069  2070  2071  2072  2073  2074  2075  2076
##  [2077]  2077  2078  2079  2080  2081  2082  2083  2084  2085  2086  2087  2088
##  [2089]  2089  2090  2091  2092  2093  2094  2095  2096  2097  2098  2099  2100
##  [2101]  2101  2102  2103  2104  2105  2106  2107  2108  2109  2110  2111  2112
##  [2113]  2113  2114  2115  2116  2117  2118  2119  2120  2121  2122  2123  2124
##  [2125]  2125  2126  2127  2128  2129  2130  2131  2132  2133  2134  2135  2136
##  [2137]  2137  2138  2139  2140  2141  2142  2143  2144  2145  2146  2147  2148
##  [2149]  2149  2150  2151  2152  2153  2154  2155  2156  2157  2158  2159  2160
##  [2161]  2161  2162  2163  2164  2165  2166  2167  2168  2169  2170  2171  2172
##  [2173]  2173  2174  2175  2176  2177  2178  2179  2180  2181  2182  2183  2184
##  [2185]  2185  2186  2187  2188  2189  2190  2191  2192  2193  2194  2195  2196
##  [2197]  2197  2198  2199  2200  2201  2202  2203  2204  2205  2206  2207  2208
##  [2209]  2209  2210  2211  2212  2213  2214  2215  2216  2217  2218  2219  2220
##  [2221]  2221  2222  2223  2224  2225  2226  2227  2228  2229  2230  2231  2232
##  [2233]  2233  2234  2235  2236  2237  2238  2239  2240  2241  2242  2243  2244
##  [2245]  2245  2246  2247  2248  2249  2250  2251  2252  2253  2254  2255  2256
##  [2257]  2257  2258  2259  2260  2261  2262  2263  2264  2265  2266  2267  2268
##  [2269]  2269  2270  2271  2272  2273  2274  2275  2276  2277  2278  2279  2280
##  [2281]  2281  2282  2283  2284  2285  2286  2287  2288  2289  2290  2291  2292
##  [2293]  2293  2294  2295  2296  2297  2298  2299  2300  2301  2302  2303  2304
##  [2305]  2305  2306  2307  2308  2309  2310  2311  2312  2313  2314  2315  2316
##  [2317]  2317  2318  2319  2320  2321  2322  2323  2324  2325  2326  2327  2328
##  [2329]  2329  2330  2331  2332  2333  2334  2335  2336  2337  2338  2339  2340
##  [2341]  2341  2342  2343  2344  2345  2346  2347  2348  2349  2350  2351  2352
##  [2353]  2353  2354  2355  2356  2357  2358  2359  2360  2361  2362  2363  2364
##  [2365]  2365  2366  2367  2368  2369  2370  2371  2372  2373  2374  2375  2376
##  [2377]  2377  2378  2379  2380  2381  2382  2383  2384  2385  2386  2387  2388
##  [2389]  2389  2390  2391  2392  2393  2394  2395  2396  2397  2398  2399  2400
##  [2401]  2401  2402  2403  2404  2405  2406  2407  2408  2409  2410  2411  2412
##  [2413]  2413  2414  2415  2416  2417  2418  2419  2420  2421  2422  2423  2424
##  [2425]  2425  2426  2427  2428  2429  2430  2431  2432  2433  2434  2435  2436
##  [2437]  2437  2438  2439  2440  2441  2442  2443  2444  2445  2446  2447  2448
##  [2449]  2449  2450  2451  2452  2453  2454  2455  2456  2457  2458  2459  2460
##  [2461]  2461  2462  2463  2464  2465  2466  2467  2468  2469  2470  2471  2472
##  [2473]  2473  2474  2475  2476  2477  2478  2479  2480  2481  2482  2483  2484
##  [2485]  2485  2486  2487  2488  2489  2490  2491  2492  2493  2494  2495  2496
##  [2497]  2497  2498  2499  2500  2501  2502  2503  2504  2505  2506  2507  2508
##  [2509]  2509  2510  2511  2512  2513  2514  2515  2516  2517  2518  2519  2520
##  [2521]  2521  2522  2523  2524  2525  2526  2527  2528  2529  2530  2531  2532
##  [2533]  2533  2534  2535  2536  2537  2538  2539  2540  2541  2542  2543  2544
##  [2545]  2545  2546  2547  2548  2549  2550  2551  2552  2553  2554  2555  2556
##  [2557]  2557  2558  2559  2560  2561  2562  2563  2564  2565  2566  2567  2568
##  [2569]  2569  2570  2571  2572  2573  2574  2575  2576  2577  2578  2579  2580
##  [2581]  2581  2582  2583  2584  2585  2586  2587  2588  2589  2590  2591  2592
##  [2593]  2593  2594  2595  2596  2597  2598  2599  2600  2601  2602  2603  2604
##  [2605]  2605  2606  2607  2608  2609  2610  2611  2612  2613  2614  2615  2616
##  [2617]  2617  2618  2619  2620  2621  2622  2623  2624  2625  2626  2627  2628
##  [2629]  2629  2630  2631  2632  2633  2634  2635  2636  2637  2638  2639  2640
##  [2641]  2641  2642  2643  2644  2645  2646  2647  2648  2649  2650  2651  2652
##  [2653]  2653  2654  2655  2656  2657  2658  2659  2660  2661  2662  2663  2664
##  [2665]  2665  2666  2667  2668  2669  2670  2671  2672  2673  2674  2675  2676
##  [2677]  2677  2678  2679  2680  2681  2682  2683  2684  2685  2686  2687  2688
##  [2689]  2689  2690  2691  2692  2693  2694  2695  2696  2697  2698  2699  2700
##  [2701]  2701  2702  2703  2704  2705  2706  2707  2708  2709  2710  2711  2712
##  [2713]  2713  2714  2715  2716  2717  2718  2719  2720  2721  2722  2723  2724
##  [2725]  2725  2726  2727  2728  2729  2730  2731  2732  2733  2734  2735  2736
##  [2737]  2737  2738  2739  2740  2741  2742  2743  2744  2745  2746  2747  2748
##  [2749]  2749  2750  2751  2752  2753  2754  2755  2756  2757  2758  2759  2760
##  [2761]  2761  2762  2763  2764  2765  2766  2767  2768  2769  2770  2771  2772
##  [2773]  2773  2774  2775  2776  2777  2778  2779  2780  2781  2782  2783  2784
##  [2785]  2785  2786  2787  2788  2789  2790  2791  2792  2793  2794  2795  2796
##  [2797]  2797  2798  2799  2800  2801  2802  2803  2804  2805  2806  2807  2808
##  [2809]  2809  2810  2811  2812  2813  2814  2815  2816  2817  2818  2819  2820
##  [2821]  2821  2822  2823  2824  2825  2826  2827  2828  2829  2830  2831  2832
##  [2833]  2833  2834  2835  2836  2837  2838  2839  2840  2841  2842  2843  2844
##  [2845]  2845  2846  2847  2848  2849  2850  2851  2852  2853  2854  2855  2856
##  [2857]  2857  2858  2859  2860  2861  2862  2863  2864  2865  2866  2867  2868
##  [2869]  2869  2870  2871  2872  2873  2874  2875  2876  2877  2878  2879  2880
##  [2881]  2881  2882  2883  2884  2885  2886  2887  2888  2889  2890  2891  2892
##  [2893]  2893  2894  2895  2896  2897  2898  2899  2900  2901  2902  2903  2904
##  [2905]  2905  2906  2907  2908  2909  2910  2911  2912  2913  2914  2915  2916
##  [2917]  2917  2918  2919  2920  2921  2922  2923  2924  2925  2926  2927  2928
##  [2929]  2929  2930  2931  2932  2933  2934  2935  2936  2937  2938  2939  2940
##  [2941]  2941  2942  2943  2944  2945  2946  2947  2948  2949  2950  2951  2952
##  [2953]  2953  2954  2955  2956  2957  2958  2959  2960  2961  2962  2963  2964
##  [2965]  2965  2966  2967  2968  2969  2970  2971  2972  2973  2974  2975  2976
##  [2977]  2977  2978  2979  2980  2981  2982  2983  2984  2985  2986  2987  2988
##  [2989]  2989  2990  2991  2992  2993  2994  2995  2996  2997  2998  2999  3000
##  [3001]  3001  3002  3003  3004  3005  3006  3007  3008  3009  3010  3011  3012
##  [3013]  3013  3014  3015  3016  3017  3018  3019  3020  3021  3022  3023  3024
##  [3025]  3025  3026  3027  3028  3029  3030  3031  3032  3033  3034  3035  3036
##  [3037]  3037  3038  3039  3040  3041  3042  3043  3044  3045  3046  3047  3048
##  [3049]  3049  3050  3051  3052  3053  3054  3055  3056  3057  3058  3059  3060
##  [3061]  3061  3062  3063  3064  3065  3066  3067  3068  3069  3070  3071  3072
##  [3073]  3073  3074  3075  3076  3077  3078  3079  3080  3081  3082  3083  3084
##  [3085]  3085  3086  3087  3088  3089  3090  3091  3092  3093  3094  3095  3096
##  [3097]  3097  3098  3099  3100  3101  3102  3103  3104  3105  3106  3107  3108
##  [3109]  3109  3110  3111  3112  3113  3114  3115  3116  3117  3118  3119  3120
##  [3121]  3121  3122  3123  3124  3125  3126  3127  3128  3129  3130  3131  3132
##  [3133]  3133  3134  3135  3136  3137  3138  3139  3140  3141  3142  3143  3144
##  [3145]  3145  3146  3147  3148  3149  3150  3151  3152  3153  3154  3155  3156
##  [3157]  3157  3158  3159  3160  3161  3162  3163  3164  3165  3166  3167  3168
##  [3169]  3169  3170  3171  3172  3173  3174  3175  3176  3177  3178  3179  3180
##  [3181]  3181  3182  3183  3184  3185  3186  3187  3188  3189  3190  3191  3192
##  [3193]  3193  3194  3195  3196  3197  3198  3199  3200  3201  3202  3203  3204
##  [3205]  3205  3206  3207  3208  3209  3210  3211  3212  3213  3214  3215  3216
##  [3217]  3217  3218  3219  3220  3221  3222  3223  3224  3225  3226  3227  3228
##  [3229]  3229  3230  3231  3232  3233  3234  3235  3236  3237  3238  3239  3240
##  [3241]  3241  3242  3243  3244  3245  3246  3247  3248  3249  3250  3251  3252
##  [3253]  3253  3254  3255  3256  3257  3258  3259  3260  3261  3262  3263  3264
##  [3265]  3265  3266  3267  3268  3269  3270  3271  3272  3273  3274  3275  3276
##  [3277]  3277  3278  3279  3280  3281  3282  3283  3284  3285  3286  3287  3288
##  [3289]  3289  3290  3291  3292  3293  3294  3295  3296  3297  3298  3299  3300
##  [3301]  3301  3302  3303  3304  3305  3306  3307  3308  3309  3310  3311  3312
##  [3313]  3313  3314  3315  3316  3317  3318  3319  3320  3321  3322  3323  3324
##  [3325]  3325  3326  3327  3328  3329  3330  3331  3332  3333  3334  3335  3336
##  [3337]  3337  3338  3339  3340  3341  3342  3343  3344  3345  3346  3347  3348
##  [3349]  3349  3350  3351  3352  3353  3354  3355  3356  3357  3358  3359  3360
##  [3361]  3361  3362  3363  3364  3365  3366  3367  3368  3369  3370  3371  3372
##  [3373]  3373  3374  3375  3376  3377  3378  3379  3380  3381  3382  3383  3384
##  [3385]  3385  3386  3387  3388  3389  3390  3391  3392  3393  3394  3395  3396
##  [3397]  3397  3398  3399  3400  3401  3402  3403  3404  3405  3406  3407  3408
##  [3409]  3409  3410  3411  3412  3413  3414  3415  3416  3417  3418  3419  3420
##  [3421]  3421  3422  3423  3424  3425  3426  3427  3428  3429  3430  3431  3432
##  [3433]  3433  3434  3435  3436  3437  3438  3439  3440  3441  3442  3443  3444
##  [3445]  3445  3446  3447  3448  3449  3450  3451  3452  3453  3454  3455  3456
##  [3457]  3457  3458  3459  3460  3461  3462  3463  3464  3465  3466  3467  3468
##  [3469]  3469  3470  3471  3472  3473  3474  3475  3476  3477  3478  3479  3480
##  [3481]  3481  3482  3483  3484  3485  3486  3487  3488  3489  3490  3491  3492
##  [3493]  3493  3494  3495  3496  3497  3498  3499  3500  3501  3502  3503  3504
##  [3505]  3505  3506  3507  3508  3509  3510  3511  3512  3513  3514  3515  3516
##  [3517]  3517  3518  3519  3520  3521  3522  3523  3524  3525  3526  3527  3528
##  [3529]  3529  3530  3531  3532  3533  3534  3535  3536  3537  3538  3539  3540
##  [3541]  3541  3542  3543  3544  3545  3546  3547  3548  3549  3550  3551  3552
##  [3553]  3553  3554  3555  3556  3557  3558  3559  3560  3561  3562  3563  3564
##  [3565]  3565  3566  3567  3568  3569  3570  3571  3572  3573  3574  3575  3576
##  [3577]  3577  3578  3579  3580  3581  3582  3583  3584  3585  3586  3587  3588
##  [3589]  3589  3590  3591  3592  3593  3594  3595  3596  3597  3598  3599  3600
##  [3601]  3601  3602  3603  3604  3605  3606  3607  3608  3609  3610  3611  3612
##  [3613]  3613  3614  3615  3616  3617  3618  3619  3620  3621  3622  3623  3624
##  [3625]  3625  3626  3627  3628  3629  3630  3631  3632  3633  3634  3635  3636
##  [3637]  3637  3638  3639  3640  3641  3642  3643  3644  3645  3646  3647  3648
##  [3649]  3649  3650  3651  3652  3653  3654  3655  3656  3657  3658  3659  3660
##  [3661]  3661  3662  3663  3664  3665  3666  3667  3668  3669  3670  3671  3672
##  [3673]  3673  3674  3675  3676  3677  3678  3679  3680  3681  3682  3683  3684
##  [3685]  3685  3686  3687  3688  3689  3690  3691  3692  3693  3694  3695  3696
##  [3697]  3697  3698  3699  3700  3701  3702  3703  3704  3705  3706  3707  3708
##  [3709]  3709  3710  3711  3712  3713  3714  3715  3716  3717  3718  3719  3720
##  [3721]  3721  3722  3723  3724  3725  3726  3727  3728  3729  3730  3731  3732
##  [3733]  3733  3734  3735  3736  3737  3738  3739  3740  3741  3742  3743  3744
##  [3745]  3745  3746  3747  3748  3749  3750  3751  3752  3753  3754  3755  3756
##  [3757]  3757  3758  3759  3760  3761  3762  3763  3764  3765  3766  3767  3768
##  [3769]  3769  3770  3771  3772  3773  3774  3775  3776  3777  3778  3779  3780
##  [3781]  3781  3782  3783  3784  3785  3786  3787  3788  3789  3790  3791  3792
##  [3793]  3793  3794  3795  3796  3797  3798  3799  3800  3801  3802  3803  3804
##  [3805]  3805  3806  3807  3808  3809  3810  3811  3812  3813  3814  3815  3816
##  [3817]  3817  3818  3819  3820  3821  3822  3823  3824  3825  3826  3827  3828
##  [3829]  3829  3830  3831  3832  3833  3834  3835  3836  3837  3838  3839  3840
##  [3841]  3841  3842  3843  3844  3845  3846  3847  3848  3849  3850  3851  3852
##  [3853]  3853  3854  3855  3856  3857  3858  3859  3860  3861  3862  3863  3864
##  [3865]  3865  3866  3867  3868  3869  3870  3871  3872  3873  3874  3875  3876
##  [3877]  3877  3878  3879  3880  3881  3882  3883  3884  3885  3886  3887  3888
##  [3889]  3889  3890  3891  3892  3893  3894  3895  3896  3897  3898  3899  3900
##  [3901]  3901  3902  3903  3904  3905  3906  3907  3908  3909  3910  3911  3912
##  [3913]  3913  3914  3915  3916  3917  3918  3919  3920  3921  3922  3923  3924
##  [3925]  3925  3926  3927  3928  3929  3930  3931  3932  3933  3934  3935  3936
##  [3937]  3937  3938  3939  3940  3941  3942  3943  3944  3945  3946  3947  3948
##  [3949]  3949  3950  3951  3952  3953  3954  3955  3956  3957  3958  3959  3960
##  [3961]  3961  3962  3963  3964  3965  3966  3967  3968  3969  3970  3971  3972
##  [3973]  3973  3974  3975  3976  3977  3978  3979  3980  3981  3982  3983  3984
##  [3985]  3985  3986  3987  3988  3989  3990  3991  3992  3993  3994  3995  3996
##  [3997]  3997  3998  3999  4000  4001  4002  4003  4004  4005  4006  4007  4008
##  [4009]  4009  4010  4011  4012  4013  4014  4015  4016  4017  4018  4019  4020
##  [4021]  4021  4022  4023  4024  4025  4026  4027  4028  4029  4030  4031  4032
##  [4033]  4033  4034  4035  4036  4037  4038  4039  4040  4041  4042  4043  4044
##  [4045]  4045  4046  4047  4048  4049  4050  4051  4052  4053  4054  4055  4056
##  [4057]  4057  4058  4059  4060  4061  4062  4063  4064  4065  4066  4067  4068
##  [4069]  4069  4070  4071  4072  4073  4074  4075  4076  4077  4078  4079  4080
##  [4081]  4081  4082  4083  4084  4085  4086  4087  4088  4089  4090  4091  4092
##  [4093]  4093  4094  4095  4096  4097  4098  4099  4100  4101  4102  4103  4104
##  [4105]  4105  4106  4107  4108  4109  4110  4111  4112  4113  4114  4115  4116
##  [4117]  4117  4118  4119  4120  4121  4122  4123  4124  4125  4126  4127  4128
##  [4129]  4129  4130  4131  4132  4133  4134  4135  4136  4137  4138  4139  4140
##  [4141]  4141  4142  4143  4144  4145  4146  4147  4148  4149  4150  4151  4152
##  [4153]  4153  4154  4155  4156  4157  4158  4159  4160  4161  4162  4163  4164
##  [4165]  4165  4166  4167  4168  4169  4170  4171  4172  4173  4174  4175  4176
##  [4177]  4177  4178  4179  4180  4181  4182  4183  4184  4185  4186  4187  4188
##  [4189]  4189  4190  4191  4192  4193  4194  4195  4196  4197  4198  4199  4200
##  [4201]  4201  4202  4203  4204  4205  4206  4207  4208  4209  4210  4211  4212
##  [4213]  4213  4214  4215  4216  4217  4218  4219  4220  4221  4222  4223  4224
##  [4225]  4225  4226  4227  4228  4229  4230  4231  4232  4233  4234  4235  4236
##  [4237]  4237  4238  4239  4240  4241  4242  4243  4244  4245  4246  4247  4248
##  [4249]  4249  4250  4251  4252  4253  4254  4255  4256  4257  4258  4259  4260
##  [4261]  4261  4262  4263  4264  4265  4266  4267  4268  4269  4270  4271  4272
##  [4273]  4273  4274  4275  4276  4277  4278  4279  4280  4281  4282  4283  4284
##  [4285]  4285  4286  4287  4288  4289  4290  4291  4292  4293  4294  4295  4296
##  [4297]  4297  4298  4299  4300  4301  4302  4303  4304  4305  4306  4307  4308
##  [4309]  4309  4310  4311  4312  4313  4314  4315  4316  4317  4318  4319  4320
##  [4321]  4321  4322  4323  4324  4325  4326  4327  4328  4329  4330  4331  4332
##  [4333]  4333  4334  4335  4336  4337  4338  4339  4340  4341  4342  4343  4344
##  [4345]  4345  4346  4347  4348  4349  4350  4351  4352  4353  4354  4355  4356
##  [4357]  4357  4358  4359  4360  4361  4362  4363  4364  4365  4366  4367  4368
##  [4369]  4369  4370  4371  4372  4373  4374  4375  4376  4377  4378  4379  4380
##  [4381]  4381  4382  4383  4384  4385  4386  4387  4388  4389  4390  4391  4392
##  [4393]  4393  4394  4395  4396  4397  4398  4399  4400  4401  4402  4403  4404
##  [4405]  4405  4406  4407  4408  4409  4410  4411  4412  4413  4414  4415  4416
##  [4417]  4417  4418  4419  4420  4421  4422  4423  4424  4425  4426  4427  4428
##  [4429]  4429  4430  4431  4432  4433  4434  4435  4436  4437  4438  4439  4440
##  [4441]  4441  4442  4443  4444  4445  4446  4447  4448  4449  4450  4451  4452
##  [4453]  4453  4454  4455  4456  4457  4458  4459  4460  4461  4462  4463  4464
##  [4465]  4465  4466  4467  4468  4469  4470  4471  4472  4473  4474  4475  4476
##  [4477]  4477  4478  4479  4480  4481  4482  4483  4484  4485  4486  4487  4488
##  [4489]  4489  4490  4491  4492  4493  4494  4495  4496  4497  4498  4499  4500
##  [4501]  4501  4502  4503  4504  4505  4506  4507  4508  4509  4510  4511  4512
##  [4513]  4513  4514  4515  4516  4517  4518  4519  4520  4521  4522  4523  4524
##  [4525]  4525  4526  4527  4528  4529  4530  4531  4532  4533  4534  4535  4536
##  [4537]  4537  4538  4539  4540  4541  4542  4543  4544  4545  4546  4547  4548
##  [4549]  4549  4550  4551  4552  4553  4554  4555  4556  4557  4558  4559  4560
##  [4561]  4561  4562  4563  4564  4565  4566  4567  4568  4569  4570  4571  4572
##  [4573]  4573  4574  4575  4576  4577  4578  4579  4580  4581  4582  4583  4584
##  [4585]  4585  4586  4587  4588  4589  4590  4591  4592  4593  4594  4595  4596
##  [4597]  4597  4598  4599  4600  4601  4602  4603  4604  4605  4606  4607  4608
##  [4609]  4609  4610  4611  4612  4613  4614  4615  4616  4617  4618  4619  4620
##  [4621]  4621  4622  4623  4624  4625  4626  4627  4628  4629  4630  4631  4632
##  [4633]  4633  4634  4635  4636  4637  4638  4639  4640  4641  4642  4643  4644
##  [4645]  4645  4646  4647  4648  4649  4650  4651  4652  4653  4654  4655  4656
##  [4657]  4657  4658  4659  4660  4661  4662  4663  4664  4665  4666  4667  4668
##  [4669]  4669  4670  4671  4672  4673  4674  4675  4676  4677  4678  4679  4680
##  [4681]  4681  4682  4683  4684  4685  4686  4687  4688  4689  4690  4691  4692
##  [4693]  4693  4694  4695  4696  4697  4698  4699  4700  4701  4702  4703  4704
##  [4705]  4705  4706  4707  4708  4709  4710  4711  4712  4713  4714  4715  4716
##  [4717]  4717  4718  4719  4720  4721  4722  4723  4724  4725  4726  4727  4728
##  [4729]  4729  4730  4731  4732  4733  4734  4735  4736  4737  4738  4739  4740
##  [4741]  4741  4742  4743  4744  4745  4746  4747  4748  4749  4750  4751  4752
##  [4753]  4753  4754  4755  4756  4757  4758  4759  4760  4761  4762  4763  4764
##  [4765]  4765  4766  4767  4768  4769  4770  4771  4772  4773  4774  4775  4776
##  [4777]  4777  4778  4779  4780  4781  4782  4783  4784  4785  4786  4787  4788
##  [4789]  4789  4790  4791  4792  4793  4794  4795  4796  4797  4798  4799  4800
##  [4801]  4801  4802  4803  4804  4805  4806  4807  4808  4809  4810  4811  4812
##  [4813]  4813  4814  4815  4816  4817  4818  4819  4820  4821  4822  4823  4824
##  [4825]  4825  4826  4827  4828  4829  4830  4831  4832  4833  4834  4835  4836
##  [4837]  4837  4838  4839  4840  4841  4842  4843  4844  4845  4846  4847  4848
##  [4849]  4849  4850  4851  4852  4853  4854  4855  4856  4857  4858  4859  4860
##  [4861]  4861  4862  4863  4864  4865  4866  4867  4868  4869  4870  4871  4872
##  [4873]  4873  4874  4875  4876  4877  4878  4879  4880  4881  4882  4883  4884
##  [4885]  4885  4886  4887  4888  4889  4890  4891  4892  4893  4894  4895  4896
##  [4897]  4897  4898  4899  4900  4901  4902  4903  4904  4905  4906  4907  4908
##  [4909]  4909  4910  4911  4912  4913  4914  4915  4916  4917  4918  4919  4920
##  [4921]  4921  4922  4923  4924  4925  4926  4927  4928  4929  4930  4931  4932
##  [4933]  4933  4934  4935  4936  4937  4938  4939  4940  4941  4942  4943  4944
##  [4945]  4945  4946  4947  4948  4949  4950  4951  4952  4953  4954  4955  4956
##  [4957]  4957  4958  4959  4960  4961  4962  4963  4964  4965  4966  4967  4968
##  [4969]  4969  4970  4971  4972  4973  4974  4975  4976  4977  4978  4979  4980
##  [4981]  4981  4982  4983  4984  4985  4986  4987  4988  4989  4990  4991  4992
##  [4993]  4993  4994  4995  4996  4997  4998  4999  5000  5001  5002  5003  5004
##  [5005]  5005  5006  5007  5008  5009  5010  5011  5012  5013  5014  5015  5016
##  [5017]  5017  5018  5019  5020  5021  5022  5023  5024  5025  5026  5027  5028
##  [5029]  5029  5030  5031  5032  5033  5034  5035  5036  5037  5038  5039  5040
##  [5041]  5041  5042  5043  5044  5045  5046  5047  5048  5049  5050  5051  5052
##  [5053]  5053  5054  5055  5056  5057  5058  5059  5060  5061  5062  5063  5064
##  [5065]  5065  5066  5067  5068  5069  5070  5071  5072  5073  5074  5075  5076
##  [5077]  5077  5078  5079  5080  5081  5082  5083  5084  5085  5086  5087  5088
##  [5089]  5089  5090  5091  5092  5093  5094  5095  5096  5097  5098  5099  5100
##  [5101]  5101  5102  5103  5104  5105  5106  5107  5108  5109  5110  5111  5112
##  [5113]  5113  5114  5115  5116  5117  5118  5119  5120  5121  5122  5123  5124
##  [5125]  5125  5126  5127  5128  5129  5130  5131  5132  5133  5134  5135  5136
##  [5137]  5137  5138  5139  5140  5141  5142  5143  5144  5145  5146  5147  5148
##  [5149]  5149  5150  5151  5152  5153  5154  5155  5156  5157  5158  5159  5160
##  [5161]  5161  5162  5163  5164  5165  5166  5167  5168  5169  5170  5171  5172
##  [5173]  5173  5174  5175  5176  5177  5178  5179  5180  5181  5182  5183  5184
##  [5185]  5185  5186  5187  5188  5189  5190  5191  5192  5193  5194  5195  5196
##  [5197]  5197  5198  5199  5200  5201  5202  5203  5204  5205  5206  5207  5208
##  [5209]  5209  5210  5211  5212  5213  5214  5215  5216  5217  5218  5219  5220
##  [5221]  5221  5222  5223  5224  5225  5226  5227  5228  5229  5230  5231  5232
##  [5233]  5233  5234  5235  5236  5237  5238  5239  5240  5241  5242  5243  5244
##  [5245]  5245  5246  5247  5248  5249  5250  5251  5252  5253  5254  5255  5256
##  [5257]  5257  5258  5259  5260  5261  5262  5263  5264  5265  5266  5267  5268
##  [5269]  5269  5270  5271  5272  5273  5274  5275  5276  5277  5278  5279  5280
##  [5281]  5281  5282  5283  5284  5285  5286  5287  5288  5289  5290  5291  5292
##  [5293]  5293  5294  5295  5296  5297  5298  5299  5300  5301  5302  5303  5304
##  [5305]  5305  5306  5307  5308  5309  5310  5311  5312  5313  5314  5315  5316
##  [5317]  5317  5318  5319  5320  5321  5322  5323  5324  5325  5326  5327  5328
##  [5329]  5329  5330  5331  5332  5333  5334  5335  5336  5337  5338  5339  5340
##  [5341]  5341  5342  5343  5344  5345  5346  5347  5348  5349  5350  5351  5352
##  [5353]  5353  5354  5355  5356  5357  5358  5359  5360  5361  5362  5363  5364
##  [5365]  5365  5366  5367  5368  5369  5370  5371  5372  5373  5374  5375  5376
##  [5377]  5377  5378  5379  5380  5381  5382  5383  5384  5385  5386  5387  5388
##  [5389]  5389  5390  5391  5392  5393  5394  5395  5396  5397  5398  5399  5400
##  [5401]  5401  5402  5403  5404  5405  5406  5407  5408  5409  5410  5411  5412
##  [5413]  5413  5414  5415  5416  5417  5418  5419  5420  5421  5422  5423  5424
##  [5425]  5425  5426  5427  5428  5429  5430  5431  5432  5433  5434  5435  5436
##  [5437]  5437  5438  5439  5440  5441  5442  5443  5444  5445  5446  5447  5448
##  [5449]  5449  5450  5451  5452  5453  5454  5455  5456  5457  5458  5459  5460
##  [5461]  5461  5462  5463  5464  5465  5466  5467  5468  5469  5470  5471  5472
##  [5473]  5473  5474  5475  5476  5477  5478  5479  5480  5481  5482  5483  5484
##  [5485]  5485  5486  5487  5488  5489  5490  5491  5492  5493  5494  5495  5496
##  [5497]  5497  5498  5499  5500  5501  5502  5503  5504  5505  5506  5507  5508
##  [5509]  5509  5510  5511  5512  5513  5514  5515  5516  5517  5518  5519  5520
##  [5521]  5521  5522  5523  5524  5525  5526  5527  5528  5529  5530  5531  5532
##  [5533]  5533  5534  5535  5536  5537  5538  5539  5540  5541  5542  5543  5544
##  [5545]  5545  5546  5547  5548  5549  5550  5551  5552  5553  5554  5555  5556
##  [5557]  5557  5558  5559  5560  5561  5562  5563  5564  5565  5566  5567  5568
##  [5569]  5569  5570  5571  5572  5573  5574  5575  5576  5577  5578  5579  5580
##  [5581]  5581  5582  5583  5584  5585  5586  5587  5588  5589  5590  5591  5592
##  [5593]  5593  5594  5595  5596  5597  5598  5599  5600  5601  5602  5603  5604
##  [5605]  5605  5606  5607  5608  5609  5610  5611  5612  5613  5614  5615  5616
##  [5617]  5617  5618  5619  5620  5621  5622  5623  5624  5625  5626  5627  5628
##  [5629]  5629  5630  5631  5632  5633  5634  5635  5636  5637  5638  5639  5640
##  [5641]  5641  5642  5643  5644  5645  5646  5647  5648  5649  5650  5651  5652
##  [5653]  5653  5654  5655  5656  5657  5658  5659  5660  5661  5662  5663  5664
##  [5665]  5665  5666  5667  5668  5669  5670  5671  5672  5673  5674  5675  5676
##  [5677]  5677  5678  5679  5680  5681  5682  5683  5684  5685  5686  5687  5688
##  [5689]  5689  5690  5691  5692  5693  5694  5695  5696  5697  5698  5699  5700
##  [5701]  5701  5702  5703  5704  5705  5706  5707  5708  5709  5710  5711  5712
##  [5713]  5713  5714  5715  5716  5717  5718  5719  5720  5721  5722  5723  5724
##  [5725]  5725  5726  5727  5728  5729  5730  5731  5732  5733  5734  5735  5736
##  [5737]  5737  5738  5739  5740  5741  5742  5743  5744  5745  5746  5747  5748
##  [5749]  5749  5750  5751  5752  5753  5754  5755  5756  5757  5758  5759  5760
##  [5761]  5761  5762  5763  5764  5765  5766  5767  5768  5769  5770  5771  5772
##  [5773]  5773  5774  5775  5776  5777  5778  5779  5780  5781  5782  5783  5784
##  [5785]  5785  5786  5787  5788  5789  5790  5791  5792  5793  5794  5795  5796
##  [5797]  5797  5798  5799  5800  5801  5802  5803  5804  5805  5806  5807  5808
##  [5809]  5809  5810  5811  5812  5813  5814  5815  5816  5817  5818  5819  5820
##  [5821]  5821  5822  5823  5824  5825  5826  5827  5828  5829  5830  5831  5832
##  [5833]  5833  5834  5835  5836  5837  5838  5839  5840  5841  5842  5843  5844
##  [5845]  5845  5846  5847  5848  5849  5850  5851  5852  5853  5854  5855  5856
##  [5857]  5857  5858  5859  5860  5861  5862  5863  5864  5865  5866  5867  5868
##  [5869]  5869  5870  5871  5872  5873  5874  5875  5876  5877  5878  5879  5880
##  [5881]  5881  5882  5883  5884  5885  5886  5887  5888  5889  5890  5891  5892
##  [5893]  5893  5894  5895  5896  5897  5898  5899  5900  5901  5902  5903  5904
##  [5905]  5905  5906  5907  5908  5909  5910  5911  5912  5913  5914  5915  5916
##  [5917]  5917  5918  5919  5920  5921  5922  5923  5924  5925  5926  5927  5928
##  [5929]  5929  5930  5931  5932  5933  5934  5935  5936  5937  5938  5939  5940
##  [5941]  5941  5942  5943  5944  5945  5946  5947  5948  5949  5950  5951  5952
##  [5953]  5953  5954  5955  5956  5957  5958  5959  5960  5961  5962  5963  5964
##  [5965]  5965  5966  5967  5968  5969  5970  5971  5972  5973  5974  5975  5976
##  [5977]  5977  5978  5979  5980  5981  5982  5983  5984  5985  5986  5987  5988
##  [5989]  5989  5990  5991  5992  5993  5994  5995  5996  5997  5998  5999  6000
##  [6001]  6001  6002  6003  6004  6005  6006  6007  6008  6009  6010  6011  6012
##  [6013]  6013  6014  6015  6016  6017  6018  6019  6020  6021  6022  6023  6024
##  [6025]  6025  6026  6027  6028  6029  6030  6031  6032  6033  6034  6035  6036
##  [6037]  6037  6038  6039  6040  6041  6042  6043  6044  6045  6046  6047  6048
##  [6049]  6049  6050  6051  6052  6053  6054  6055  6056  6057  6058  6059  6060
##  [6061]  6061  6062  6063  6064  6065  6066  6067  6068  6069  6070  6071  6072
##  [6073]  6073  6074  6075  6076  6077  6078  6079  6080  6081  6082  6083  6084
##  [6085]  6085  6086  6087  6088  6089  6090  6091  6092  6093  6094  6095  6096
##  [6097]  6097  6098  6099  6100  6101  6102  6103  6104  6105  6106  6107  6108
##  [6109]  6109  6110  6111  6112  6113  6114  6115  6116  6117  6118  6119  6120
##  [6121]  6121  6122  6123  6124  6125  6126  6127  6128  6129  6130  6131  6132
##  [6133]  6133  6134  6135  6136  6137  6138  6139  6140  6141  6142  6143  6144
##  [6145]  6145  6146  6147  6148  6149  6150  6151  6152  6153  6154  6155  6156
##  [6157]  6157  6158  6159  6160  6161  6162  6163  6164  6165  6166  6167  6168
##  [6169]  6169  6170  6171  6172  6173  6174  6175  6176  6177  6178  6179  6180
##  [6181]  6181  6182  6183  6184  6185  6186  6187  6188  6189  6190  6191  6192
##  [6193]  6193  6194  6195  6196  6197  6198  6199  6200  6201  6202  6203  6204
##  [6205]  6205  6206  6207  6208  6209  6210  6211  6212  6213  6214  6215  6216
##  [6217]  6217  6218  6219  6220  6221  6222  6223  6224  6225  6226  6227  6228
##  [6229]  6229  6230  6231  6232  6233  6234  6235  6236  6237  6238  6239  6240
##  [6241]  6241  6242  6243  6244  6245  6246  6247  6248  6249  6250  6251  6252
##  [6253]  6253  6254  6255  6256  6257  6258  6259  6260  6261  6262  6263  6264
##  [6265]  6265  6266  6267  6268  6269  6270  6271  6272  6273  6274  6275  6276
##  [6277]  6277  6278  6279  6280  6281  6282  6283  6284  6285  6286  6287  6288
##  [6289]  6289  6290  6291  6292  6293  6294  6295  6296  6297  6298  6299  6300
##  [6301]  6301  6302  6303  6304  6305  6306  6307  6308  6309  6310  6311  6312
##  [6313]  6313  6314  6315  6316  6317  6318  6319  6320  6321  6322  6323  6324
##  [6325]  6325  6326  6327  6328  6329  6330  6331  6332  6333  6334  6335  6336
##  [6337]  6337  6338  6339  6340  6341  6342  6343  6344  6345  6346  6347  6348
##  [6349]  6349  6350  6351  6352  6353  6354  6355  6356  6357  6358  6359  6360
##  [6361]  6361  6362  6363  6364  6365  6366  6367  6368  6369  6370  6371  6372
##  [6373]  6373  6374  6375  6376  6377  6378  6379  6380  6381  6382  6383  6384
##  [6385]  6385  6386  6387  6388  6389  6390  6391  6392  6393  6394  6395  6396
##  [6397]  6397  6398  6399  6400  6401  6402  6403  6404  6405  6406  6407  6408
##  [6409]  6409  6410  6411  6412  6413  6414  6415  6416  6417  6418  6419  6420
##  [6421]  6421  6422  6423  6424  6425  6426  6427  6428  6429  6430  6431  6432
##  [6433]  6433  6434  6435  6436  6437  6438  6439  6440  6441  6442  6443  6444
##  [6445]  6445  6446  6447  6448  6449  6450  6451  6452  6453  6454  6455  6456
##  [6457]  6457  6458  6459  6460  6461  6462  6463  6464  6465  6466  6467  6468
##  [6469]  6469  6470  6471  6472  6473  6474  6475  6476  6477  6478  6479  6480
##  [6481]  6481  6482  6483  6484  6485  6486  6487  6488  6489  6490  6491  6492
##  [6493]  6493  6494  6495  6496  6497  6498  6499  6500  6501  6502  6503  6504
##  [6505]  6505  6506  6507  6508  6509  6510  6511  6512  6513  6514  6515  6516
##  [6517]  6517  6518  6519  6520  6521  6522  6523  6524  6525  6526  6527  6528
##  [6529]  6529  6530  6531  6532  6533  6534  6535  6536  6537  6538  6539  6540
##  [6541]  6541  6542  6543  6544  6545  6546  6547  6548  6549  6550  6551  6552
##  [6553]  6553  6554  6555  6556  6557  6558  6559  6560  6561  6562  6563  6564
##  [6565]  6565  6566  6567  6568  6569  6570  6571  6572  6573  6574  6575  6576
##  [6577]  6577  6578  6579  6580  6581  6582  6583  6584  6585  6586  6587  6588
##  [6589]  6589  6590  6591  6592  6593  6594  6595  6596  6597  6598  6599  6600
##  [6601]  6601  6602  6603  6604  6605  6606  6607  6608  6609  6610  6611  6612
##  [6613]  6613  6614  6615  6616  6617  6618  6619  6620  6621  6622  6623  6624
##  [6625]  6625  6626  6627  6628  6629  6630  6631  6632  6633  6634  6635  6636
##  [6637]  6637  6638  6639  6640  6641  6642  6643  6644  6645  6646  6647  6648
##  [6649]  6649  6650  6651  6652  6653  6654  6655  6656  6657  6658  6659  6660
##  [6661]  6661  6662  6663  6664  6665  6666  6667  6668  6669  6670  6671  6672
##  [6673]  6673  6674  6675  6676  6677  6678  6679  6680  6681  6682  6683  6684
##  [6685]  6685  6686  6687  6688  6689  6690  6691  6692  6693  6694  6695  6696
##  [6697]  6697  6698  6699  6700  6701  6702  6703  6704  6705  6706  6707  6708
##  [6709]  6709  6710  6711  6712  6713  6714  6715  6716  6717  6718  6719  6720
##  [6721]  6721  6722  6723  6724  6725  6726  6727  6728  6729  6730  6731  6732
##  [6733]  6733  6734  6735  6736  6737  6738  6739  6740  6741  6742  6743  6744
##  [6745]  6745  6746  6747  6748  6749  6750  6751  6752  6753  6754  6755  6756
##  [6757]  6757  6758  6759  6760  6761  6762  6763  6764  6765  6766  6767  6768
##  [6769]  6769  6770  6771  6772  6773  6774  6775  6776  6777  6778  6779  6780
##  [6781]  6781  6782  6783  6784  6785  6786  6787  6788  6789  6790  6791  6792
##  [6793]  6793  6794  6795  6796  6797  6798  6799  6800  6801  6802  6803  6804
##  [6805]  6805  6806  6807  6808  6809  6810  6811  6812  6813  6814  6815  6816
##  [6817]  6817  6818  6819  6820  6821  6822  6823  6824  6825  6826  6827  6828
##  [6829]  6829  6830  6831  6832  6833  6834  6835  6836  6837  6838  6839  6840
##  [6841]  6841  6842  6843  6844  6845  6846  6847  6848  6849  6850  6851  6852
##  [6853]  6853  6854  6855  6856  6857  6858  6859  6860  6861  6862  6863  6864
##  [6865]  6865  6866  6867  6868  6869  6870  6871  6872  6873  6874  6875  6876
##  [6877]  6877  6878  6879  6880  6881  6882  6883  6884  6885  6886  6887  6888
##  [6889]  6889  6890  6891  6892  6893  6894  6895  6896  6897  6898  6899  6900
##  [6901]  6901  6902  6903  6904  6905  6906  6907  6908  6909  6910  6911  6912
##  [6913]  6913  6914  6915  6916  6917  6918  6919  6920  6921  6922  6923  6924
##  [6925]  6925  6926  6927  6928  6929  6930  6931  6932  6933  6934  6935  6936
##  [6937]  6937  6938  6939  6940  6941  6942  6943  6944  6945  6946  6947  6948
##  [6949]  6949  6950  6951  6952  6953  6954  6955  6956  6957  6958  6959  6960
##  [6961]  6961  6962  6963  6964  6965  6966  6967  6968  6969  6970  6971  6972
##  [6973]  6973  6974  6975  6976  6977  6978  6979  6980  6981  6982  6983  6984
##  [6985]  6985  6986  6987  6988  6989  6990  6991  6992  6993  6994  6995  6996
##  [6997]  6997  6998  6999  7000  7001  7002  7003  7004  7005  7006  7007  7008
##  [7009]  7009  7010  7011  7012  7013  7014  7015  7016  7017  7018  7019  7020
##  [7021]  7021  7022  7023  7024  7025  7026  7027  7028  7029  7030  7031  7032
##  [7033]  7033  7034  7035  7036  7037  7038  7039  7040  7041  7042  7043  7044
##  [7045]  7045  7046  7047  7048  7049  7050  7051  7052  7053  7054  7055  7056
##  [7057]  7057  7058  7059  7060  7061  7062  7063  7064  7065  7066  7067  7068
##  [7069]  7069  7070  7071  7072  7073  7074  7075  7076  7077  7078  7079  7080
##  [7081]  7081  7082  7083  7084  7085  7086  7087  7088  7089  7090  7091  7092
##  [7093]  7093  7094  7095  7096  7097  7098  7099  7100  7101  7102  7103  7104
##  [7105]  7105  7106  7107  7108  7109  7110  7111  7112  7113  7114  7115  7116
##  [7117]  7117  7118  7119  7120  7121  7122  7123  7124  7125  7126  7127  7128
##  [7129]  7129  7130  7131  7132  7133  7134  7135  7136  7137  7138  7139  7140
##  [7141]  7141  7142  7143  7144  7145  7146  7147  7148  7149  7150  7151  7152
##  [7153]  7153  7154  7155  7156  7157  7158  7159  7160  7161  7162  7163  7164
##  [7165]  7165  7166  7167  7168  7169  7170  7171  7172  7173  7174  7175  7176
##  [7177]  7177  7178  7179  7180  7181  7182  7183  7184  7185  7186  7187  7188
##  [7189]  7189  7190  7191  7192  7193  7194  7195  7196  7197  7198  7199  7200
##  [7201]  7201  7202  7203  7204  7205  7206  7207  7208  7209  7210  7211  7212
##  [7213]  7213  7214  7215  7216  7217  7218  7219  7220  7221  7222  7223  7224
##  [7225]  7225  7226  7227  7228  7229  7230  7231  7232  7233  7234  7235  7236
##  [7237]  7237  7238  7239  7240  7241  7242  7243  7244  7245  7246  7247  7248
##  [7249]  7249  7250  7251  7252  7253  7254  7255  7256  7257  7258  7259  7260
##  [7261]  7261  7262  7263  7264  7265  7266  7267  7268  7269  7270  7271  7272
##  [7273]  7273  7274  7275  7276  7277  7278  7279  7280  7281  7282  7283  7284
##  [7285]  7285  7286  7287  7288  7289  7290  7291  7292  7293  7294  7295  7296
##  [7297]  7297  7298  7299  7300  7301  7302  7303  7304  7305  7306  7307  7308
##  [7309]  7309  7310  7311  7312  7313  7314  7315  7316  7317  7318  7319  7320
##  [7321]  7321  7322  7323  7324  7325  7326  7327  7328  7329  7330  7331  7332
##  [7333]  7333  7334  7335  7336  7337  7338  7339  7340  7341  7342  7343  7344
##  [7345]  7345  7346  7347  7348  7349  7350  7351  7352  7353  7354  7355  7356
##  [7357]  7357  7358  7359  7360  7361  7362  7363  7364  7365  7366  7367  7368
##  [7369]  7369  7370  7371  7372  7373  7374  7375  7376  7377  7378  7379  7380
##  [7381]  7381  7382  7383  7384  7385  7386  7387  7388  7389  7390  7391  7392
##  [7393]  7393  7394  7395  7396  7397  7398  7399  7400  7401  7402  7403  7404
##  [7405]  7405  7406  7407  7408  7409  7410  7411  7412  7413  7414  7415  7416
##  [7417]  7417  7418  7419  7420  7421  7422  7423  7424  7425  7426  7427  7428
##  [7429]  7429  7430  7431  7432  7433  7434  7435  7436  7437  7438  7439  7440
##  [7441]  7441  7442  7443  7444  7445  7446  7447  7448  7449  7450  7451  7452
##  [7453]  7453  7454  7455  7456  7457  7458  7459  7460  7461  7462  7463  7464
##  [7465]  7465  7466  7467  7468  7469  7470  7471  7472  7473  7474  7475  7476
##  [7477]  7477  7478  7479  7480  7481  7482  7483  7484  7485  7486  7487  7488
##  [7489]  7489  7490  7491  7492  7493  7494  7495  7496  7497  7498  7499  7500
##  [7501]  7501  7502  7503  7504  7505  7506  7507  7508  7509  7510  7511  7512
##  [7513]  7513  7514  7515  7516  7517  7518  7519  7520  7521  7522  7523  7524
##  [7525]  7525  7526  7527  7528  7529  7530  7531  7532  7533  7534  7535  7536
##  [7537]  7537  7538  7539  7540  7541  7542  7543  7544  7545  7546  7547  7548
##  [7549]  7549  7550  7551  7552  7553  7554  7555  7556  7557  7558  7559  7560
##  [7561]  7561  7562  7563  7564  7565  7566  7567  7568  7569  7570  7571  7572
##  [7573]  7573  7574  7575  7576  7577  7578  7579  7580  7581  7582  7583  7584
##  [7585]  7585  7586  7587  7588  7589  7590  7591  7592  7593  7594  7595  7596
##  [7597]  7597  7598  7599  7600  7601  7602  7603  7604  7605  7606  7607  7608
##  [7609]  7609  7610  7611  7612  7613  7614  7615  7616  7617  7618  7619  7620
##  [7621]  7621  7622  7623  7624  7625  7626  7627  7628  7629  7630  7631  7632
##  [7633]  7633  7634  7635  7636  7637  7638  7639  7640  7641  7642  7643  7644
##  [7645]  7645  7646  7647  7648  7649  7650  7651  7652  7653  7654  7655  7656
##  [7657]  7657  7658  7659  7660  7661  7662  7663  7664  7665  7666  7667  7668
##  [7669]  7669  7670  7671  7672  7673  7674  7675  7676  7677  7678  7679  7680
##  [7681]  7681  7682  7683  7684  7685  7686  7687  7688  7689  7690  7691  7692
##  [7693]  7693  7694  7695  7696  7697  7698  7699  7700  7701  7702  7703  7704
##  [7705]  7705  7706  7707  7708  7709  7710  7711  7712  7713  7714  7715  7716
##  [7717]  7717  7718  7719  7720  7721  7722  7723  7724  7725  7726  7727  7728
##  [7729]  7729  7730  7731  7732  7733  7734  7735  7736  7737  7738  7739  7740
##  [7741]  7741  7742  7743  7744  7745  7746  7747  7748  7749  7750  7751  7752
##  [7753]  7753  7754  7755  7756  7757  7758  7759  7760  7761  7762  7763  7764
##  [7765]  7765  7766  7767  7768  7769  7770  7771  7772  7773  7774  7775  7776
##  [7777]  7777  7778  7779  7780  7781  7782  7783  7784  7785  7786  7787  7788
##  [7789]  7789  7790  7791  7792  7793  7794  7795  7796  7797  7798  7799  7800
##  [7801]  7801  7802  7803  7804  7805  7806  7807  7808  7809  7810  7811  7812
##  [7813]  7813  7814  7815  7816  7817  7818  7819  7820  7821  7822  7823  7824
##  [7825]  7825  7826  7827  7828  7829  7830  7831  7832  7833  7834  7835  7836
##  [7837]  7837  7838  7839  7840  7841  7842  7843  7844  7845  7846  7847  7848
##  [7849]  7849  7850  7851  7852  7853  7854  7855  7856  7857  7858  7859  7860
##  [7861]  7861  7862  7863  7864  7865  7866  7867  7868  7869  7870  7871  7872
##  [7873]  7873  7874  7875  7876  7877  7878  7879  7880  7881  7882  7883  7884
##  [7885]  7885  7886  7887  7888  7889  7890  7891  7892  7893  7894  7895  7896
##  [7897]  7897  7898  7899  7900  7901  7902  7903  7904  7905  7906  7907  7908
##  [7909]  7909  7910  7911  7912  7913  7914  7915  7916  7917  7918  7919  7920
##  [7921]  7921  7922  7923  7924  7925  7926  7927  7928  7929  7930  7931  7932
##  [7933]  7933  7934  7935  7936  7937  7938  7939  7940  7941  7942  7943  7944
##  [7945]  7945  7946  7947  7948  7949  7950  7951  7952  7953  7954  7955  7956
##  [7957]  7957  7958  7959  7960  7961  7962  7963  7964  7965  7966  7967  7968
##  [7969]  7969  7970  7971  7972  7973  7974  7975  7976  7977  7978  7979  7980
##  [7981]  7981  7982  7983  7984  7985  7986  7987  7988  7989  7990  7991  7992
##  [7993]  7993  7994  7995  7996  7997  7998  7999  8000  8001  8002  8003  8004
##  [8005]  8005  8006  8007  8008  8009  8010  8011  8012  8013  8014  8015  8016
##  [8017]  8017  8018  8019  8020  8021  8022  8023  8024  8025  8026  8027  8028
##  [8029]  8029  8030  8031  8032  8033  8034  8035  8036  8037  8038  8039  8040
##  [8041]  8041  8042  8043  8044  8045  8046  8047  8048  8049  8050  8051  8052
##  [8053]  8053  8054  8055  8056  8057  8058  8059  8060  8061  8062  8063  8064
##  [8065]  8065  8066  8067  8068  8069  8070  8071  8072  8073  8074  8075  8076
##  [8077]  8077  8078  8079  8080  8081  8082  8083  8084  8085  8086  8087  8088
##  [8089]  8089  8090  8091  8092  8093  8094  8095  8096  8097  8098  8099  8100
##  [8101]  8101  8102  8103  8104  8105  8106  8107  8108  8109  8110  8111  8112
##  [8113]  8113  8114  8115  8116  8117  8118  8119  8120  8121  8122  8123  8124
##  [8125]  8125  8126  8127  8128  8129  8130  8131  8132  8133  8134  8135  8136
##  [8137]  8137  8138  8139  8140  8141  8142  8143  8144  8145  8146  8147  8148
##  [8149]  8149  8150  8151  8152  8153  8154  8155  8156  8157  8158  8159  8160
##  [8161]  8161  8162  8163  8164  8165  8166  8167  8168  8169  8170  8171  8172
##  [8173]  8173  8174  8175  8176  8177  8178  8179  8180  8181  8182  8183  8184
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##  [8209]  8209  8210  8211  8212  8213  8214  8215  8216  8217  8218  8219  8220
##  [8221]  8221  8222  8223  8224  8225  8226  8227  8228  8229  8230  8231  8232
##  [8233]  8233  8234  8235  8236  8237  8238  8239  8240  8241  8242  8243  8244
##  [8245]  8245  8246  8247  8248  8249  8250  8251  8252  8253  8254  8255  8256
##  [8257]  8257  8258  8259  8260  8261  8262  8263  8264  8265  8266  8267  8268
##  [8269]  8269  8270  8271  8272  8273  8274  8275  8276  8277  8278  8279  8280
##  [8281]  8281  8282  8283  8284  8285  8286  8287  8288  8289  8290  8291  8292
##  [8293]  8293  8294  8295  8296  8297  8298  8299  8300  8301  8302  8303  8304
##  [8305]  8305  8306  8307  8308  8309  8310  8311  8312  8313  8314  8315  8316
##  [8317]  8317  8318  8319  8320  8321  8322  8323  8324  8325  8326  8327  8328
##  [8329]  8329  8330  8331  8332  8333  8334  8335  8336  8337  8338  8339  8340
##  [8341]  8341  8342  8343  8344  8345  8346  8347  8348  8349  8350  8351  8352
##  [8353]  8353  8354  8355  8356  8357  8358  8359  8360  8361  8362  8363  8364
##  [8365]  8365  8366  8367  8368  8369  8370  8371  8372  8373  8374  8375  8376
##  [8377]  8377  8378  8379  8380  8381  8382  8383  8384  8385  8386  8387  8388
##  [8389]  8389  8390  8391  8392  8393  8394  8395  8396  8397  8398  8399  8400
##  [8401]  8401  8402  8403  8404  8405  8406  8407  8408  8409  8410  8411  8412
##  [8413]  8413  8414  8415  8416  8417  8418  8419  8420  8421  8422  8423  8424
##  [8425]  8425  8426  8427  8428  8429  8430  8431  8432  8433  8434  8435  8436
##  [8437]  8437  8438  8439  8440  8441  8442  8443  8444  8445  8446  8447  8448
##  [8449]  8449  8450  8451  8452  8453  8454  8455  8456  8457  8458  8459  8460
##  [8461]  8461  8462  8463  8464  8465  8466  8467  8468  8469  8470  8471  8472
##  [8473]  8473  8474  8475  8476  8477  8478  8479  8480  8481  8482  8483  8484
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##  [8509]  8509  8510  8511  8512  8513  8514  8515  8516  8517  8518  8519  8520
##  [8521]  8521  8522  8523  8524  8525  8526  8527  8528  8529  8530  8531  8532
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##  [8557]  8557  8558  8559  8560  8561  8562  8563  8564  8565  8566  8567  8568
##  [8569]  8569  8570  8571  8572  8573  8574  8575  8576  8577  8578  8579  8580
##  [8581]  8581  8582  8583  8584  8585  8586  8587  8588  8589  8590  8591  8592
##  [8593]  8593  8594  8595  8596  8597  8598  8599  8600  8601  8602  8603  8604
##  [8605]  8605  8606  8607  8608  8609  8610  8611  8612  8613  8614  8615  8616
##  [8617]  8617  8618  8619  8620  8621  8622  8623  8624  8625  8626  8627  8628
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##  [8641]  8641  8642  8643  8644  8645  8646  8647  8648  8649  8650  8651  8652
##  [8653]  8653  8654  8655  8656  8657  8658  8659  8660  8661  8662  8663  8664
##  [8665]  8665  8666  8667  8668  8669  8670  8671  8672  8673  8674  8675  8676
##  [8677]  8677  8678  8679  8680  8681  8682  8683  8684  8685  8686  8687  8688
##  [8689]  8689  8690  8691  8692  8693  8694  8695  8696  8697  8698  8699  8700
##  [8701]  8701  8702  8703  8704  8705  8706  8707  8708  8709  8710  8711  8712
##  [8713]  8713  8714  8715  8716  8717  8718  8719  8720  8721  8722  8723  8724
##  [8725]  8725  8726  8727  8728  8729  8730  8731  8732  8733  8734  8735  8736
##  [8737]  8737  8738  8739  8740  8741  8742  8743  8744  8745  8746  8747  8748
##  [8749]  8749  8750  8751  8752  8753  8754  8755  8756  8757  8758  8759  8760
##  [8761]  8761  8762  8763  8764  8765  8766  8767  8768  8769  8770  8771  8772
##  [8773]  8773  8774  8775  8776  8777  8778  8779  8780  8781  8782  8783  8784
##  [8785]  8785  8786  8787  8788  8789  8790  8791  8792  8793  8794  8795  8796
##  [8797]  8797  8798  8799  8800  8801  8802  8803  8804  8805  8806  8807  8808
##  [8809]  8809  8810  8811  8812  8813  8814  8815  8816  8817  8818  8819  8820
##  [8821]  8821  8822  8823  8824  8825  8826  8827  8828  8829  8830  8831  8832
##  [8833]  8833  8834  8835  8836  8837  8838  8839  8840  8841  8842  8843  8844
##  [8845]  8845  8846  8847  8848  8849  8850  8851  8852  8853  8854  8855  8856
##  [8857]  8857  8858  8859  8860  8861  8862  8863  8864  8865  8866  8867  8868
##  [8869]  8869  8870  8871  8872  8873  8874  8875  8876  8877  8878  8879  8880
##  [8881]  8881  8882  8883  8884  8885  8886  8887  8888  8889  8890  8891  8892
##  [8893]  8893  8894  8895  8896  8897  8898  8899  8900  8901  8902  8903  8904
##  [8905]  8905  8906  8907  8908  8909  8910  8911  8912  8913  8914  8915  8916
##  [8917]  8917  8918  8919  8920  8921  8922  8923  8924  8925  8926  8927  8928
##  [8929]  8929  8930  8931  8932  8933  8934  8935  8936  8937  8938  8939  8940
##  [8941]  8941  8942  8943  8944  8945  8946  8947  8948  8949  8950  8951  8952
##  [8953]  8953  8954  8955  8956  8957  8958  8959  8960  8961  8962  8963  8964
##  [8965]  8965  8966  8967  8968  8969  8970  8971  8972  8973  8974  8975  8976
##  [8977]  8977  8978  8979  8980  8981  8982  8983  8984  8985  8986  8987  8988
##  [8989]  8989  8990  8991  8992  8993  8994  8995  8996  8997  8998  8999  9000
##  [9001]  9001  9002  9003  9004  9005  9006  9007  9008  9009  9010  9011  9012
##  [9013]  9013  9014  9015  9016  9017  9018  9019  9020  9021  9022  9023  9024
##  [9025]  9025  9026  9027  9028  9029  9030  9031  9032  9033  9034  9035  9036
##  [9037]  9037  9038  9039  9040  9041  9042  9043  9044  9045  9046  9047  9048
##  [9049]  9049  9050  9051  9052  9053  9054  9055  9056  9057  9058  9059  9060
##  [9061]  9061  9062  9063  9064  9065  9066  9067  9068  9069  9070  9071  9072
##  [9073]  9073  9074  9075  9076  9077  9078  9079  9080  9081  9082  9083  9084
##  [9085]  9085  9086  9087  9088  9089  9090  9091  9092  9093  9094  9095  9096
##  [9097]  9097  9098  9099  9100  9101  9102  9103  9104  9105  9106  9107  9108
##  [9109]  9109  9110  9111  9112  9113  9114  9115  9116  9117  9118  9119  9120
##  [9121]  9121  9122  9123  9124  9125  9126  9127  9128  9129  9130  9131  9132
##  [9133]  9133  9134  9135  9136  9137  9138  9139  9140  9141  9142  9143  9144
##  [9145]  9145  9146  9147  9148  9149  9150  9151  9152  9153  9154  9155  9156
##  [9157]  9157  9158  9159  9160  9161  9162  9163  9164  9165  9166  9167  9168
##  [9169]  9169  9170  9171  9172  9173  9174  9175  9176  9177  9178  9179  9180
##  [9181]  9181  9182  9183  9184  9185  9186  9187  9188  9189  9190  9191  9192
##  [9193]  9193  9194  9195  9196  9197  9198  9199  9200  9201  9202  9203  9204
##  [9205]  9205  9206  9207  9208  9209  9210  9211  9212  9213  9214  9215  9216
##  [9217]  9217  9218  9219  9220  9221  9222  9223  9224  9225  9226  9227  9228
##  [9229]  9229  9230  9231  9232  9233  9234  9235  9236  9237  9238  9239  9240
##  [9241]  9241  9242  9243  9244  9245  9246  9247  9248  9249  9250  9251  9252
##  [9253]  9253  9254  9255  9256  9257  9258  9259  9260  9261  9262  9263  9264
##  [9265]  9265  9266  9267  9268  9269  9270  9271  9272  9273  9274  9275  9276
##  [9277]  9277  9278  9279  9280  9281  9282  9283  9284  9285  9286  9287  9288
##  [9289]  9289  9290  9291  9292  9293  9294  9295  9296  9297  9298  9299  9300
##  [9301]  9301  9302  9303  9304  9305  9306  9307  9308  9309  9310  9311  9312
##  [9313]  9313  9314  9315  9316  9317  9318  9319  9320  9321  9322  9323  9324
##  [9325]  9325  9326  9327  9328  9329  9330  9331  9332  9333  9334  9335  9336
##  [9337]  9337  9338  9339  9340  9341  9342  9343  9344  9345  9346  9347  9348
##  [9349]  9349  9350  9351  9352  9353  9354  9355  9356  9357  9358  9359  9360
##  [9361]  9361  9362  9363  9364  9365  9366  9367  9368  9369  9370  9371  9372
##  [9373]  9373  9374  9375  9376  9377  9378  9379  9380  9381  9382  9383  9384
##  [9385]  9385  9386  9387  9388  9389  9390  9391  9392  9393  9394  9395  9396
##  [9397]  9397  9398  9399  9400  9401  9402  9403  9404  9405  9406  9407  9408
##  [9409]  9409  9410  9411  9412  9413  9414  9415  9416  9417  9418  9419  9420
##  [9421]  9421  9422  9423  9424  9425  9426  9427  9428  9429  9430  9431  9432
##  [9433]  9433  9434  9435  9436  9437  9438  9439  9440  9441  9442  9443  9444
##  [9445]  9445  9446  9447  9448  9449  9450  9451  9452  9453  9454  9455  9456
##  [9457]  9457  9458  9459  9460  9461  9462  9463  9464  9465  9466  9467  9468
##  [9469]  9469  9470  9471  9472  9473  9474  9475  9476  9477  9478  9479  9480
##  [9481]  9481  9482  9483  9484  9485  9486  9487  9488  9489  9490  9491  9492
##  [9493]  9493  9494  9495  9496  9497  9498  9499  9500  9501  9502  9503  9504
##  [9505]  9505  9506  9507  9508  9509  9510  9511  9512  9513  9514  9515  9516
##  [9517]  9517  9518  9519  9520  9521  9522  9523  9524  9525  9526  9527  9528
##  [9529]  9529  9530  9531  9532  9533  9534  9535  9536  9537  9538  9539  9540
##  [9541]  9541  9542  9543  9544  9545  9546  9547  9548  9549  9550  9551  9552
##  [9553]  9553  9554  9555  9556  9557  9558  9559  9560  9561  9562  9563  9564
##  [9565]  9565  9566  9567  9568  9569  9570  9571  9572  9573  9574  9575  9576
##  [9577]  9577  9578  9579  9580  9581  9582  9583  9584  9585  9586  9587  9588
##  [9589]  9589  9590  9591  9592  9593  9594  9595  9596  9597  9598  9599  9600
##  [9601]  9601  9602  9603  9604  9605  9606  9607  9608  9609  9610  9611  9612
##  [9613]  9613  9614  9615  9616  9617  9618  9619  9620  9621  9622  9623  9624
##  [9625]  9625  9626  9627  9628  9629  9630  9631  9632  9633  9634  9635  9636
##  [9637]  9637  9638  9639  9640  9641  9642  9643  9644  9645  9646  9647  9648
##  [9649]  9649  9650  9651  9652  9653  9654  9655  9656  9657  9658  9659  9660
##  [9661]  9661  9662  9663  9664  9665  9666  9667  9668  9669  9670  9671  9672
##  [9673]  9673  9674  9675  9676  9677  9678  9679  9680  9681  9682  9683  9684
##  [9685]  9685  9686  9687  9688  9689  9690  9691  9692  9693  9694  9695  9696
##  [9697]  9697  9698  9699  9700  9701  9702  9703  9704  9705  9706  9707  9708
##  [9709]  9709  9710  9711  9712  9713  9714  9715  9716  9717  9718  9719  9720
##  [9721]  9721  9722  9723  9724  9725  9726  9727  9728  9729  9730  9731  9732
##  [9733]  9733  9734  9735  9736  9737  9738  9739  9740  9741  9742  9743  9744
##  [9745]  9745  9746  9747  9748  9749  9750  9751  9752  9753  9754  9755  9756
##  [9757]  9757  9758  9759  9760  9761  9762  9763  9764  9765  9766  9767  9768
##  [9769]  9769  9770  9771  9772  9773  9774  9775  9776  9777  9778  9779  9780
##  [9781]  9781  9782  9783  9784  9785  9786  9787  9788  9789  9790  9791  9792
##  [9793]  9793  9794  9795  9796  9797  9798  9799  9800  9801  9802  9803  9804
##  [9805]  9805  9806  9807  9808  9809  9810  9811  9812  9813  9814  9815  9816
##  [9817]  9817  9818  9819  9820  9821  9822  9823  9824  9825  9826  9827  9828
##  [9829]  9829  9830  9831  9832  9833  9834  9835  9836  9837  9838  9839  9840
##  [9841]  9841  9842  9843  9844  9845  9846  9847  9848  9849  9850  9851  9852
##  [9853]  9853  9854  9855  9856  9857  9858  9859  9860  9861  9862  9863  9864
##  [9865]  9865  9866  9867  9868  9869  9870  9871  9872  9873  9874  9875  9876
##  [9877]  9877  9878  9879  9880  9881  9882  9883  9884  9885  9886  9887  9888
##  [9889]  9889  9890  9891  9892  9893  9894  9895  9896  9897  9898  9899  9900
##  [9901]  9901  9902  9903  9904  9905  9906  9907  9908  9909  9910  9911  9912
##  [9913]  9913  9914  9915  9916  9917  9918  9919  9920  9921  9922  9923  9924
##  [9925]  9925  9926  9927  9928  9929  9930  9931  9932  9933  9934  9935  9936
##  [9937]  9937  9938  9939  9940  9941  9942  9943  9944  9945  9946  9947  9948
##  [9949]  9949  9950  9951  9952  9953  9954  9955  9956  9957  9958  9959  9960
##  [9961]  9961  9962  9963  9964  9965  9966  9967  9968  9969  9970  9971  9972
##  [9973]  9973  9974  9975  9976  9977  9978  9979  9980  9981  9982  9983  9984
##  [9985]  9985  9986  9987  9988  9989  9990  9991  9992  9993  9994  9995  9996
##  [9997]  9997  9998  9999 10000
```
]

---
count: false

.panel1-many_trials-auto[

```r
set.seed(2022)
1:10000 %>%
* tibble(trial = .)
```
]
 
.panel2-many_trials-auto[

```
## # A tibble: 10,000 × 1
##    trial
##    <int>
##  1     1
##  2     2
##  3     3
##  4     4
##  5     5
##  6     6
##  7     7
##  8     8
##  9     9
## 10    10
## # … with 9,990 more rows
```
]

---
count: false

.panel1-many_trials-auto[

```r
set.seed(2022)
1:10000 %>%
  tibble(trial = .) %>%
* mutate(ho =
*          map(.x = trial,  #input
*              .f = single_trial  #function
*              ))
```
]
 
.panel2-many_trials-auto[

```
## # A tibble: 10,000 × 2
##    trial ho        
##    <int> <list>    
##  1     1 <int [16]>
##  2     2 <int [16]>
##  3     3 <int [16]>
##  4     4 <int [16]>
##  5     5 <int [16]>
##  6     6 <int [16]>
##  7     7 <int [16]>
##  8     8 <int [16]>
##  9     9 <int [16]>
## 10    10 <int [16]>
## # … with 9,990 more rows
```
]

---
count: false

.panel1-many_trials-auto[

```r
set.seed(2022)
1:10000 %>%
  tibble(trial = .) %>%
  mutate(ho =
           map(.x = trial,  #input
               .f = single_trial  #function
               )) %>%
* mutate(num_successes =
*          map_dbl(ho, sum))
```
]
 
.panel2-many_trials-auto[

```
## # A tibble: 10,000 × 3
##    trial ho         num_successes
##    <int> <list>             <dbl>
##  1     1 <int [16]>             9
##  2     2 <int [16]>             5
##  3     3 <int [16]>             6
##  4     4 <int [16]>             8
##  5     5 <int [16]>             7
##  6     6 <int [16]>            11
##  7     7 <int [16]>             5
##  8     8 <int [16]>             8
##  9     9 <int [16]>             6
## 10    10 <int [16]>             3
## # … with 9,990 more rows
```
]

---
count: false

.panel1-many_trials-auto[

```r
set.seed(2022)
1:10000 %>%
  tibble(trial = .) %>%
  mutate(ho =
           map(.x = trial,  #input
               .f = single_trial  #function
               )) %>%
  mutate(num_successes =
           map_dbl(ho, sum)) %>%
* mutate(prop_success =
*          map_dbl(ho, mean))
```
]
 
.panel2-many_trials-auto[

```
## # A tibble: 10,000 × 4
##    trial ho         num_successes prop_success
##    <int> <list>             <dbl>        <dbl>
##  1     1 <int [16]>             9        0.562
##  2     2 <int [16]>             5        0.312
##  3     3 <int [16]>             6        0.375
##  4     4 <int [16]>             8        0.5  
##  5     5 <int [16]>             7        0.438
##  6     6 <int [16]>            11        0.688
##  7     7 <int [16]>             5        0.312
##  8     8 <int [16]>             8        0.5  
##  9     9 <int [16]>             6        0.375
## 10    10 <int [16]>             3        0.188
## # … with 9,990 more rows
```
]

---
count: false

.panel1-many_trials-auto[

```r
set.seed(2022)
1:10000 %>%
  tibble(trial = .) %>%
  mutate(ho =
           map(.x = trial,  #input
               .f = single_trial  #function
               )) %>%
  mutate(num_successes =
           map_dbl(ho, sum)) %>%
  mutate(prop_success =
           map_dbl(ho, mean)) ->
*many_trials_chance_model
```
]
 
.panel2-many_trials-auto[

]

<style>
.panel1-many_trials-auto {
  color: black;
  width: 38.6060606060606%;
  hight: 32%;
  float: left;
  padding-left: 1%;
  font-size: 80%
}
.panel2-many_trials-auto {
  color: black;
  width: 59.3939393939394%;
  hight: 32%;
  float: left;
  padding-left: 1%;
  font-size: 80%
}
.panel3-many_trials-auto {
  color: black;
  width: NA%;
  hight: 33%;
  float: left;
  padding-left: 1%;
  font-size: 80%
}
</style>

---

count: false

.panel1-dist_statistic_trials-auto[

```r
*ggplot(data = many_trials_chance_model)
```
]
 
.panel2-dist_statistic_trials-auto[
![](ma206simulationsflipbook_files/figure-html/dist_statistic_trials_auto_01_output-1.png)
]

---
count: false

.panel1-dist_statistic_trials-auto[

```r
ggplot(data = many_trials_chance_model) +
* aes(x = prop_success)
```
]
 
.panel2-dist_statistic_trials-auto[
![](ma206simulationsflipbook_files/figure-html/dist_statistic_trials_auto_02_output-1.png)
]

---
count: false

.panel1-dist_statistic_trials-auto[

```r
ggplot(data = many_trials_chance_model) +
  aes(x = prop_success) +
* geom_rug(alpha = .2)
```
]
 
.panel2-dist_statistic_trials-auto[
![](ma206simulationsflipbook_files/figure-html/dist_statistic_trials_auto_03_output-1.png)
]

---
count: false

.panel1-dist_statistic_trials-auto[

```r
ggplot(data = many_trials_chance_model) +
  aes(x = prop_success) +
  geom_rug(alpha = .2) +
* geom_bar()
```
]
 
.panel2-dist_statistic_trials-auto[
![](ma206simulationsflipbook_files/figure-html/dist_statistic_trials_auto_04_output-1.png)
]

---
count: false

.panel1-dist_statistic_trials-auto[

```r
ggplot(data = many_trials_chance_model) +
  aes(x = prop_success) +
  geom_rug(alpha = .2) +
  geom_bar() +
* ggxmean::geom_x_mean()
```
]
 
.panel2-dist_statistic_trials-auto[
![](ma206simulationsflipbook_files/figure-html/dist_statistic_trials_auto_05_output-1.png)
]

---
count: false

.panel1-dist_statistic_trials-auto[

```r
ggplot(data = many_trials_chance_model) +
  aes(x = prop_success) +
  geom_rug(alpha = .2) +
  geom_bar() +
  ggxmean::geom_x_mean() +
* ggxmean:::geom_x1sd(linetype = "dashed")
```
]
 
.panel2-dist_statistic_trials-auto[
![](ma206simulationsflipbook_files/figure-html/dist_statistic_trials_auto_06_output-1.png)
]

---
count: false

.panel1-dist_statistic_trials-auto[

```r
ggplot(data = many_trials_chance_model) +
  aes(x = prop_success) +
  geom_rug(alpha = .2) +
  geom_bar() +
  ggxmean::geom_x_mean() +
  ggxmean:::geom_x1sd(linetype = "dashed") +
* ggxmean:::geom_x2sd(linetype = "dashed")
```
]
 
.panel2-dist_statistic_trials-auto[
![](ma206simulationsflipbook_files/figure-html/dist_statistic_trials_auto_07_output-1.png)
]

---
count: false

.panel1-dist_statistic_trials-auto[

```r
ggplot(data = many_trials_chance_model) +
  aes(x = prop_success) +
  geom_rug(alpha = .2) +
  geom_bar() +
  ggxmean::geom_x_mean() +
  ggxmean:::geom_x1sd(linetype = "dashed") +
  ggxmean:::geom_x2sd(linetype = "dashed") +
* ggxmean:::geom_x3sd(linetype = "dashed")
```
]
 
.panel2-dist_statistic_trials-auto[
![](ma206simulationsflipbook_files/figure-html/dist_statistic_trials_auto_08_output-1.png)
]

---
count: false

.panel1-dist_statistic_trials-auto[

```r
ggplot(data = many_trials_chance_model) +
  aes(x = prop_success) +
  geom_rug(alpha = .2) +
  geom_bar() +
  ggxmean::geom_x_mean() +
  ggxmean:::geom_x1sd(linetype = "dashed") +
  ggxmean:::geom_x2sd(linetype = "dashed") +
  ggxmean:::geom_x3sd(linetype = "dashed") +
* ggxmean:::geom_normal_dist(height = 200)
```
]
 
.panel2-dist_statistic_trials-auto[
![](ma206simulationsflipbook_files/figure-html/dist_statistic_trials_auto_09_output-1.png)
]

---
count: false

.panel1-dist_statistic_trials-auto[

```r
ggplot(data = many_trials_chance_model) +
  aes(x = prop_success) +
  geom_rug(alpha = .2) +
  geom_bar() +
  ggxmean::geom_x_mean() +
  ggxmean:::geom_x1sd(linetype = "dashed") +
  ggxmean:::geom_x2sd(linetype = "dashed") +
  ggxmean:::geom_x3sd(linetype = "dashed") +
  ggxmean:::geom_normal_dist(height = 200) +
# situate observed in chance model trials
* geom_vline(xintercept = buzz_doris_observed_prop,
*            color = "red")
```
]
 
.panel2-dist_statistic_trials-auto[
![](ma206simulationsflipbook_files/figure-html/dist_statistic_trials_auto_10_output-1.png)
]

---
count: false

.panel1-dist_statistic_trials-auto[

```r
ggplot(data = many_trials_chance_model) +
  aes(x = prop_success) +
  geom_rug(alpha = .2) +
  geom_bar() +
  ggxmean::geom_x_mean() +
  ggxmean:::geom_x1sd(linetype = "dashed") +
  ggxmean:::geom_x2sd(linetype = "dashed") +
  ggxmean:::geom_x3sd(linetype = "dashed") +
  ggxmean:::geom_normal_dist(height = 200) +
# situate observed in chance model trials
  geom_vline(xintercept = buzz_doris_observed_prop,
             color = "red") ->
*plot
```
]
 
.panel2-dist_statistic_trials-auto[

]

<style>
.panel1-dist_statistic_trials-auto {
  color: black;
  width: 38.6060606060606%;
  hight: 32%;
  float: left;
  padding-left: 1%;
  font-size: 80%
}
.panel2-dist_statistic_trials-auto {
  color: black;
  width: 59.3939393939394%;
  hight: 32%;
  float: left;
  padding-left: 1%;
  font-size: 80%
}
.panel3-dist_statistic_trials-auto {
  color: black;
  width: NA%;
  hight: 33%;
  float: left;
  padding-left: 1%;
  font-size: 80%
}
</style>

---

count: false

.panel1-pvalue-auto[

```r
*many_trials_chance_model
```
]
 
.panel2-pvalue-auto[

```
## # A tibble: 10,000 × 4
##    trial ho         num_successes prop_success
##    <int> <list>             <dbl>        <dbl>
##  1     1 <int [16]>             9        0.562
##  2     2 <int [16]>             5        0.312
##  3     3 <int [16]>             6        0.375
##  4     4 <int [16]>             8        0.5  
##  5     5 <int [16]>             7        0.438
##  6     6 <int [16]>            11        0.688
##  7     7 <int [16]>             5        0.312
##  8     8 <int [16]>             8        0.5  
##  9     9 <int [16]>             6        0.375
## 10    10 <int [16]>             3        0.188
## # … with 9,990 more rows
```
]

---
count: false

.panel1-pvalue-auto[

```r
many_trials_chance_model %>%
* mutate(as_or_more_extreme = prop_success >=
*          buzz_doris_observed_prop)
```
]
 
.panel2-pvalue-auto[

```
## # A tibble: 10,000 × 5
##    trial ho         num_successes prop_success as_or_more_extreme
##    <int> <list>             <dbl>        <dbl> <lgl>             
##  1     1 <int [16]>             9        0.562 FALSE             
##  2     2 <int [16]>             5        0.312 FALSE             
##  3     3 <int [16]>             6        0.375 FALSE             
##  4     4 <int [16]>             8        0.5   FALSE             
##  5     5 <int [16]>             7        0.438 FALSE             
##  6     6 <int [16]>            11        0.688 FALSE             
##  7     7 <int [16]>             5        0.312 FALSE             
##  8     8 <int [16]>             8        0.5   FALSE             
##  9     9 <int [16]>             6        0.375 FALSE             
## 10    10 <int [16]>             3        0.188 FALSE             
## # … with 9,990 more rows
```
]

---
count: false

.panel1-pvalue-auto[

```r
many_trials_chance_model %>%
  mutate(as_or_more_extreme = prop_success >=
           buzz_doris_observed_prop) %>%
* pull(as_or_more_extreme)
```
]
 
.panel2-pvalue-auto[

```
##     [1] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##    [13] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##    [25] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
##    [37] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
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```
]

---
count: false

.panel1-pvalue-auto[

```r
many_trials_chance_model %>%
  mutate(as_or_more_extreme = prop_success >=
           buzz_doris_observed_prop) %>%
  pull(as_or_more_extreme) %>%
* mean()  # mean of true and false give proportion true
```
]
 
.panel2-pvalue-auto[

```
## [1] 0.0003
```
]

<style>
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}
.panel2-pvalue-auto {
  color: black;
  width: 59.3939393939394%;
  hight: 32%;
  float: left;
  padding-left: 1%;
  font-size: 80%
}
.panel3-pvalue-auto {
  color: black;
  width: NA%;
  hight: 33%;
  float: left;
  padding-left: 1%;
  font-size: 80%
}
</style>

<style type="text/css">
.remark-code{line-height: 1.5; font-size: 120%}

@media print {
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code.r.hljs.remark-code{
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code.r.hljs.remark-code:hover{
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